6-2(3x-3)=2(2x+5)-4(3x-1)

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Solution for 6-2(3x-3)=2(2x+5)-4(3x-1) equation:


Simplifying
6 + -2(3x + -3) = 2(2x + 5) + -4(3x + -1)

Reorder the terms:
6 + -2(-3 + 3x) = 2(2x + 5) + -4(3x + -1)
6 + (-3 * -2 + 3x * -2) = 2(2x + 5) + -4(3x + -1)
6 + (6 + -6x) = 2(2x + 5) + -4(3x + -1)

Combine like terms: 6 + 6 = 12
12 + -6x = 2(2x + 5) + -4(3x + -1)

Reorder the terms:
12 + -6x = 2(5 + 2x) + -4(3x + -1)
12 + -6x = (5 * 2 + 2x * 2) + -4(3x + -1)
12 + -6x = (10 + 4x) + -4(3x + -1)

Reorder the terms:
12 + -6x = 10 + 4x + -4(-1 + 3x)
12 + -6x = 10 + 4x + (-1 * -4 + 3x * -4)
12 + -6x = 10 + 4x + (4 + -12x)

Reorder the terms:
12 + -6x = 10 + 4 + 4x + -12x

Combine like terms: 10 + 4 = 14
12 + -6x = 14 + 4x + -12x

Combine like terms: 4x + -12x = -8x
12 + -6x = 14 + -8x

Solving
12 + -6x = 14 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
12 + -6x + 8x = 14 + -8x + 8x

Combine like terms: -6x + 8x = 2x
12 + 2x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 2x = 14 + 0
12 + 2x = 14

Add '-12' to each side of the equation.
12 + -12 + 2x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 14 + -12
2x = 14 + -12

Combine like terms: 14 + -12 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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